Online GCD Calculator is useful to find the GCD of 564, 884, 260, 472 quickly. Get the easiest ways to solve the greatest common divisor of 564, 884, 260, 472 i.e 4 in different methods as follows.
Given Input numbers are 564, 884, 260, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (564, 884, 260, 472) = 4.
Given numbers are 564, 884, 260, 472
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 22
Therefore, GCD of 564, 884, 260, 472 is 4.
Given numbers are 564, 884, 260, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 884) = 124644
GCD(564, 884) = ( 564 x 884 ) / 124644
= 564 / 884
= 564
Step2:
LCM(4, 260) = 260
GCD(4, 260) = ( 4 x 260 ) / 260
= 4 / 260
= 4
Step3:
LCM(4, 472) = 472
GCD(4, 472) = ( 4 x 472 ) / 472
= 4 / 472
= 4
So, Greatest Common Divisor of 564, 884, 260, 472 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 884, 260, 472
The greatest common divisor of numbers 564, 884, 260, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 884, 260, 472 is 4.
1. What is the GCD of 564, 884, 260, 472?
GCD of given numbers 564, 884, 260, 472 is 4
2. How to calculate the greatest common divisor of 564, 884, 260, 472?
We can find the highest common divisor of 564, 884, 260, 472 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 564, 884, 260, 472 i.e 4.
3. How can I use the GCD of 564, 884, 260, 472Calculator?
Out the numbers 564, 884, 260, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.